Factor out the great common factor from the terms of the polynomial 6x^3 - 12x^2 + 18x.
Also I need it step by step please.

Answers

Answer 1

Answer:

6x(x^2 - 2x + 3)

Step-by-step explanation:

By looking at these terms, we can realize that they all have a term to do with x and are divisible by 6. So, we have our GCF, which is 6x. Now, to factor out 6x, we have to divide every term by 6x; they will all divide without a remainder because we already established they were all divisible by 6x.

So, we get the division(for each term separately):

6x^3/6x - we can cancel out 6x from the numerator and denominator to get: x^2

-12x^2/6x -  we can cancel out 6x from the numerator and denominator to get: -2x

-18x/6x -  we can cancel out 6x from the numerator and denominator to get:

3

When we put this together we get:

6x(x^2 - 2x + 3)

This is the final answer


Related Questions

Need help ill give brainlest!!!!!!!!! HURRYYYY

Answers

Answer:

4

Step-by-step explanation:

hmm i dont know this is a pretty hard  1

Choose the option that best describes what it means to be 60% done with a project.
There are 60 things to do to finish the project, and you have done 6.
O There are 10 things to do to finish the project, and you have done 6 of them.
There are 100 things to do to finish the project, and you have done 6.
There are 6 things to do to finish the project, and you have done 3 of them.

Answers

B. There are 10Things to do to finish the project.and you have done 6 of them

18. The temperature was
40° at noon. At midnight the
temperature was -10°.
Which integer describes the
change in temperature?
PLEASE ANSWER

Answers

Answer:

The change in temperature is -50

Step-by-step explanation:

Take the second temperature and subtract the first temperature

-10 -40

-50

The change in temperature is -50

t_1=40t_2=-10

[tex]\boxed{\sf \Delta T=t_2-t_1}[/tex]

[tex]\\ \sf\longmapsto \Delta T=-10-40[/tex]

[tex]\\ \sf\longmapsto \Delta T=-50°C[/tex]

Given that f(x) = x^2 – 13x + 36 and g(x) = x – 9, find (f + g)(x) and express the result in standard form.

Answers

Answer: fx + gx

 f(x) =x^2 -13x + 36

g(x) = x - 9

PQRS. is a rectangle . find angle OPS if angle QOR is given

Please give full explanation i will mark you as brain list plzz kuch bakwaas mat likhana warna report kar dungi ​

Answers

Answer:

[tex]\angle OPS = 142^\circ[/tex]

Step-by-step explanation:

Given

The attached rectangle

[tex]\angle QOR = 142^\circ[/tex]

Required

Determine [tex]\angle OPS[/tex]

[tex]\angle OPS = \angle QOR[/tex] --- vertically opposite angles

Hence:

[tex]\angle OPS = 142^\circ[/tex]

what's ur fav show I'm looking for recommendations

Answers

Answer:

rn its currently gossip girl and Miraculous...but im watching game of thrones rn and I AM OBSESSED

Step-by-step explanation:

Answer:

For Anime Shows, Danganronpa, Naruto, Fruits Basket, and Attack on Titan! I love them all.

And for like just TV shows, Miraculous

Consider the arithmetic sequence:
3,5,7,9,..,
If n is an integer, which of these functions generate the sequence?
Choose all answers that apply:
a(n)=3+2n for n≥0
b(n)=3n for n≥1
c(n)=-1+2n for n≥2
d(n)=-6+3n for n≥3

Answers

[tex]a(n) = 3 + 2n[/tex] for [tex]n \ge 0[/tex] functions generate the arithmetic sequence.

What is arithmetic sequence?

It is a "sequence where the differences between every two successive terms are the same" (or) In an arithmetic sequence, "every term is obtained by adding a fixed number (positive or negative or zero) to its previous term".

The first term of an arithmetic sequence is a, its common difference is d, n is the number of terms.

Arithmetic sequence formula is given as, [tex]a_{n} =a+(n-1)d[/tex].

Given arithmetic sequence

[tex]3, 5, 7, 9,.....[/tex]

n is an integer

[tex]a = 3[/tex]

By considering the above arithmetic sequence, we can say that each term in the sequence is in the form of 3 + 2n, where , n ≥ 0.

So, the correct option is A

[tex]a(n) = 3 + 2n[/tex] for [tex]n \ge 0[/tex]

Thus, [tex]a(n) = 3 + 2n[/tex] for  [tex]n \ge 0[/tex]  functions generate the arithmetic sequence.

Find out more information about arithmetic sequence here

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What is the area of the parallelogram shown below in square units? 9 units 20 units

Answers

Answer

160

Step-by-step explanation:

Answer:

A=180

Step-by-step explanation:

Base = 20

Height = 9

A = bh

A = 20 x 9

A = 180

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A random survey at Disney World found that of 200 people
surveyed, 104 responded that their favorite Disney character
is Mickey Mouse. Based on that survey how many visitors can
we assume like Mickey Mouse if there are 25,000 people
visiting the park?

Answers

Answer:15,400 If u take the equation then the matric rule in the olastrophy and then use clastrophy you get the answer pretty simple

THE ANSWER IS :13,000

 !!!MAJOR HELP AND NO LINKS AND IF YOU DONT KNOW BUT YOU STILL ANSWER, I WILL REPORT IF YOU SAY SOMETHING THAT IS NOT AN ANSWER!!!
Image above

Answers

Answer:

Its the second one because

Step-by-step explanation:4/6-473*329+4= y=x+3

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What is the solution to the equation 7.5 minus X =2.8?
Image above

Answers

Answer: A

Step-by-step explanation:

4.7+2.8 = 7.5

And

7.5 -4.7 = 2.8

If A = {2, 3, 4, 5} B = {4, 5, 6, 7} C = {6, 7, 8, 9} D = {8, 9, 10, 11}, find (A ∪ B) ∪ C

Answers

Answer:

(AUB)UC=2,3,4,5,6,7,8,9

put all these numbers inside curly bracket

Step-by-step explanation:

Easy fractions help please please thank you

Answers

Answer:

1. B   2. B   3. A   4. A   5. A   6.  B

Step-by-step explanation:

All of the answers that the person above me said are correct. Hope this helps:)

Enter the correct answer in the box. 1 The function Rx) = 7x + 1 is transformed to function g through a horizontal compression by a factor of 3. What is the equation of function g? Substitute a numerical value for k into the function equation.​

Answers

Answer:

8

Step-by-step explanation:

Write an equivalent expression for -5(3-2x)

Answers

Answer:

-15+10x

Step-by-step explanation:

All you have to do is simplify.

-5(3-2x)

-5(3)+-5(-2x)

-15+10x

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4(x+2) help please.

Answers

Answer:

4x + 8

Step-by-step explanation:

4(x+2)

4*x + 4*2

4x + 8

[tex] \large\sf \leadsto 4(x + 2)[/tex]

[tex] \large\sf \leadsto 4 \times (x + 2)[/tex]

[tex] \huge\sf \leadsto \pmb {4x + 8}[/tex]

Question 11:
A diesel train traveled to Johannesburg and back. The trip there took 6 hours and
the trip back took 9 hours. It averaged 23 miles per hour faster on the trip there
than on the return trip. Find the diesel train's average speed on the outbound (first
part traveling to Johannesburg) trip.

Answers

Answer:

69 miles per hour

Step-by-step explanation:

Given

Trip to:

[tex]t_1 = 6[/tex] --- time

[tex]s_1 = 23 + s_2[/tex]

Trip back

[tex]t_2 = 9[/tex]

Required

Determine the average speed to Johannesburg

Average speed is calculated as:

[tex]speed = \frac{distance}{time}[/tex]

Make distance the subject

[tex]distance = speed * time[/tex]

Since distance is constant, then:

[tex]s_1 * t_1 = s_2 * t_2[/tex]

This gives:

[tex](23 + s_2) * 6 = s_2 * 9[/tex]

Open bracket

[tex]138 + 6s_2 = 9s_2[/tex]

Collect like terms

[tex]9s_2 - 6s_2 = 138[/tex]

[tex]3s_2 = 138[/tex]

Solve for s2

[tex]s_2 = 138/3[/tex]

[tex]s_2 = 46[/tex]

Recall that:

[tex]s_1 = 23 + s_2[/tex]

[tex]s_1 = 23 + 46[/tex]

[tex]s_1 = 69[/tex]

What is the slope of the line that passes through the points (4, 4)and (10, 7) ? Write your answer in simplest form. undefined or not

Answers

Answer:

1/2

Step-by-step explanation:

PLEASE HELP WILL MARK BRAINLYIST HELP

Answers

Easy it 7/8. Hope this help. Don’t forget to mark me as BRAINLYIST THANKS
Your answer is A. 1/8 gallons/daily
Explanation
1/2 divided by 4 = 1/8

Just trust me, and mark me brainliest ty

Have a nice day!

A triangle has angles with measures of (3x) (2x - 13)", and (5x+3).

What is the measure of the smallest angle in the triangle?

O A. 17°

O B. 190

O c. 25°

OD. 57°

Answers

Answer:

c. 25°

Step-by-step explanation:

Sum of angles in a triangle:

The sum of the measures of the angles of a triangle is 180º.

In this question:

Angles of 3x, 2x-13 and 5x + 3.

The sum is 180º. So

[tex]3x + 2x - 13 + 5x + 3 = 180[/tex]

[tex]10x - 10 = 180[/tex]

[tex]10x = 190[/tex]

[tex]x = \frac{190}{10}[/tex]

[tex]x = 19[/tex]

Measure of each angle:

3x = 3(19) = 57º

2x - 13 = 2(19) - 13 = 38 - 13 = 25º

5x + 13 = 5(19) + 3 = 95 + 3 = 98º

The smallest angle is 25º, and the correct answer is given by option c.

I NEED HELP !! PICTURE IS UP THERE ^

In the figure below, m_2=81º. Find mZ1, mZ3, and mZ4.m 21 =21m 23 =34m 2 4 =


PLEASE HELP MEE IM STRUGGLING I DONT GET THIS AT ALL!!

Answers

Answer:

[tex]\angle 1 = 99^\circ[/tex]

[tex]\angle 3 = 99^\circ[/tex]

[tex]\angle 4 = 81^\circ[/tex]

Step-by-step explanation:

Given

[tex]\angle 2 = 81^\circ[/tex]

Required

Determine: [tex]\angle 1 . \angle 3 , \angle 4[/tex]

Solving for [tex]\angle 1[/tex], we have:

[tex]\angle 2 + \angle 1 = 180^\circ[/tex] --- angle on a straight line

So, we have:

[tex]\angle 1 = 180^\circ-\angle 2[/tex]

[tex]\angle 1 = 180^\circ-81^\circ[/tex]

[tex]\angle 1 = 99^\circ[/tex]

To solve for [tex]\angle 3, \angle 4[/tex], we have:

[tex]\angle 3 = \angle 1[/tex]

[tex]\angle 4 = \angle 2[/tex] --- Vertically opposite angles

So:

[tex]\angle 4 = 81^\circ[/tex]

[tex]\angle 3 = 99^\circ[/tex]

cuanto es 47398×5467​

Answers

The answer is 259,124,4866

Answer:

259,124,866

Step-by-step explanation:

Multiply the two numbers

           4 7 3 9 8

×             5 4 6 7

________________________________________

+         3 3 1 7 8 6

+       2 8 4 3 8 8  

+     1 8 9 5 9 2    

+   2 3 6 9 9 0      

_______________________________________

=  2 5 9 1 2 4 8 6 6

If my answer is incorrect, pls correct me!

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-Chetan K

A dog breeder would like to know how many Dalmatian puppies are typically born in a litter. He conducts some research and selects a random sample of 101 Dalmatian birth records. He examines each birth record and identifies the number of puppies that were born in the litter. The distribution of the number of puppies born per litter was skewed left with a mean of 6.2 puppies born per litter and a standard deviation of 2.1 puppies per litter. He would like to estimate, with 99% confidence, the mean number of puppies born per litter for all Dalmatian births. Which of the following is the correct interval?

a. 6.2 ± 2.576(0.21)
b. 6.2 ± 2.576(2.1)
c. 6.2 ± 2.626(0.21)
d. 6.2 ± 2.626(2.1)
e. The confidence interval

Answers

Answer:

c. 6.2 ± 2.626(0.21)

Step-by-step explanation:

We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 101 - 1 = 100

99% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 100 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.99}{2} = 0.995[/tex]. So we have T = 2.626

The confidence interval is:

[tex]\overline{x} \pm M[/tex]

In which [tex]\overline{x}[/tex] is the sample mean while M is the margin of error.

The distribution of the number of puppies born per litter was skewed left with a mean of 6.2 puppies born per litter.

This means that [tex]\overline{x} = 6.2[/tex]

The margin of error is:

[tex]M = T\frac{s}{\sqrt{n}} = 2.626\frac{2.1}{\sqrt{101}} = 2.626(0.21)[/tex]

In which s is the standard deviation of the sample and n is the size of the sample.

Thus, the confidence interval is:

[tex]\overline{x} \pm M = 6.2 \pm 2.626(0.21)[/tex]

And the correct answer is given by option c.

Jerry went to the grocery store. He bought the following items.
. 3 pounds of bananas at $0.69 per pound
• 5 pounds of apples at $1.23 per pound
What is the total cost of these items?
O A $1.92
OB. $7.14
OC. $8.22
OD. $8.70

Answers

Answer:

$8.22

Step-by-step explanation:

Items purchased :

Banana = 3 pounds

Price per pound of banana = $0.69

Cost of 3 pounds of banana = (3 * 0.69) = $2.07

Apple = 5 pounds

Price per pound of apple = $1.23

Cost of 5 pounds of apple = (5 * 1.23) = $6.15

Total cost :

$(2.07 + 6.15) = $8.22

A right rectangular prism has a volume of 470.40 cm³. The length of the solid is 6.4 cm and the width is 9.8 cm.

What is the height of the right rectangular prism?

Answers

Answer: 720.3

Step-by-step explanation:

First you divide 6.4 by 9.8 then you divide by 470.40 to get 720.3

Hope this helps

the table shows the change in the water level (in centimeters) of a reservoir for three months.

find the total change in the water level for the three- month period.

Answers

Answer:

- 1 5/24 cm

Step-by-step explanation:

We'll have to get the fractions to a common denominator. the least common denominator for 3 and 80 is 240.

So - 1 1/3 = - 1 80/240 = 320/240

21/80 = 63/240

-11/80 = -33/240

-------------------------------------

-320/240 + 63/240 - 33/240 = -290/240 = - 1 50/240 = -1 5/24 cm

The total change in the water level is [tex]-\frac{29}{24}[/tex]

What is a fraction?

'A fraction is a number that represents a part of a whole. It consists of a numerator and a denominator. The numerator represents the number of equal parts of a whole, while the denominator is the total number of parts that make up said whole.'

According to the given problem,

Change in first month =  [tex]([/tex][tex]-1\frac{1}{3}[/tex] [tex])[/tex] + [tex]\frac{21}{80}[/tex] + [tex](-\frac{11}{80})[/tex]

                                    =   [tex]([/tex][tex]-1\frac{1}{3}[/tex] [tex])[/tex]  + [tex]\frac{10}{80}[/tex]

                                    =   [tex]([/tex][tex]-1\frac{1}{3}[/tex] [tex])[/tex] + [tex]\frac{1}{8}[/tex]

                                    = [tex]\frac{1}{8} - \frac{4}{3}[/tex]

                                    = [tex]\frac{3 - 32}{24}[/tex]

                                    = [tex]-\frac{29}{24}[/tex]

Hence, we can conclude, the change in the water level is  [tex]-\frac{29}{24}[/tex]

Learn more about fractions here: https://brainly.com/question/10354322

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Restaurants often slip takeout menus under Ron's apartment door. So far, Ron has collected 6 menus for Korean food and 9 other menus. Considering this data, how many of the next 20 menus slipped under Ron's door should you expect to be from Korean restaurants?

Answers

Answer: 8

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

Jennifer is having a birthday party and spends a total of $136 on food. She spent $25 on a cake and $9.25 for each pizza. Write and solve an equation to determine how many pizzas, p, she bought.

Answers

Answer:

7

Step-by-step explanation:

Answer:

14

Step-by-step explanation:

A rectangle is removed from a right triangle to create the shaded region shown below. Find the area of the shaded region. Be sure to include the correct unit
in your answer.
4m
0
DO
BO
וח
m
m
2 m
х
4 m
3 ?
1
1
5m

Answers

Answer:

Step-by-step explanation:

Plz help Desperate, question in photo

Answers

Six and twelve is the answer

Answer:

The answer is 6 and 12

Step-by-step explanation:

1x3= 3

6×3= 18

2×3=6

4×3=12

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